Anatomy of Integers

March 13 – 17, 2006
Centre de recherches mathématiques

Organizers: Jean-Marie de Koninck (Laval)
and Andrew Granville (Montréal)

This workshop will focus on two themes. The first one concerns smooth numbers and their applications in mathematics. This includes recent understanding of how key questions on character sums and on complexity analysis are actually equivalent to problems about smooth numbers. The second theme concerns the structure of the prime factors and divisors of typical integers, a subject which has a long history. Several of Erdös's classical questions on those topics have recently been answered by Kevin Ford, who will give a series of talks at this meeting, and we hope that new directions will emerge from this work during the course of the workshop.

K. Ford (Urbana-Champaign), D. Goldston (San Jose), C. Pomerance (Dartmouth College), and K. Soundararajan (Michigan) will give series of lectures on the recent developments in the field.